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A GENERAL DECAY RESULT FOR THE CAUCHY PROBLEM OF PLATE EQUATIONS WITH MEMORY.
- Source :
- Evolution Equations & Control Theory; Feb2023, Vol. 12 Issue 1, p175-190, 16p
- Publication Year :
- 2023
-
Abstract
- In this paper, we investigate the general decay rate of the solutions for a class of plate equations with memory term in the whole space R<superscript>n</superscript>, n ≥ 1, given by u<subscript>tt</subscript> + Δ²u + u + ∫<superscript>t</superscript><subscript>0</subscript> g(t - s)Au(s)ds = 0; with A = Δ or A = -Id. We use the energy method in the Fourier space to establish several general decay results which improve many recent results in the literature. We also present two illustrative examples by the end. [ABSTRACT FROM AUTHOR]
- Subjects :
- SEPARATION of variables
PLATING baths
EQUATIONS
ENERGY consumption
Subjects
Details
- Language :
- English
- ISSN :
- 21632472
- Volume :
- 12
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Evolution Equations & Control Theory
- Publication Type :
- Academic Journal
- Accession number :
- 160750287
- Full Text :
- https://doi.org/10.3934/eect.2022026